257405427 has 12 divisors (see below), whose sum is σ = 371970144. Its totient is φ = 171528720.

The previous prime is 257405419. The next prime is 257405429. The reversal of 257405427 is 724504752.

It is a happy number.

It is not a de Polignac number, because 257405427 - 2³ = 257405419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257405391 and 257405400.

It is not an unprimeable number, because it can be changed into a prime (257405429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22477 + ... + 31937.

It is an arithmetic number, because the mean of its divisors is an integer number (30997512).

Almost surely, 2^257405427 is an apocalyptic number.

257405427 is a deficient number, since it is larger than the sum of its proper divisors (114564717).

257405427 is a wasteful number, since it uses less digits than its factorization.

257405427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 257405427 is about 16043.8594795641. The cubic root of 257405427 is about 636.1202676914.

The spelling of 257405427 in words is "two hundred fifty-seven million, four hundred five thousand, four hundred twenty-seven".